select the correct answer. which expression shows the factors of 5x² + 17x + 6? a. (5x + 1)(x + 6) b. (5x +…

Explanation:

Step1: Expand option A

$(5x + 1)(x + 6)=5x\times x+5x\times6 + 1\times x+1\times6=5x^{2}+30x+x + 6=5x^{2}+31x + 6$

Step2: Expand option B

$(5x + 2)(x + 3)=5x\times x+5x\times3+2\times x + 2\times3=5x^{2}+15x+2x+6=5x^{2}+17x + 6$

Step3: Expand option C

$(5x + 3)(x + 2)=5x\times x+5x\times2+3\times x+3\times2=5x^{2}+10x+3x + 6=5x^{2}+13x + 6$

Step4: Expand option D

$(5x + 6)(x + 1)=5x\times x+5x\times1+6\times x+6\times1=5x^{2}+5x+6x+6=5x^{2}+11x + 6$

Answer:

B. $(5x + 2)(x + 3)$